To consider the effects of the ambiguities in the choice of \(\pi _a^{-2}\)  and \(\pi _a^{-1}\)  in Eq.(REF ) In the framework of LQC, such effects were also studied in
[1]}, [2]}, [3]}, [4]}, [5]}. In particular, in [6]}, [7]}, [8]} the function \(\mathfrak {A}_{-}\)  defined in Eq.(REF ) was chosen over the whole process
of the evolution of the universe., power spectra of the cosmological perturbations were also studied in the framework of LQC
in [5]}.
In this case, \(\Omega ^2\)  is obtained from Eq.(REF ) with
\(\Theta (b) = \cos (\lambda b),\) 
